1,0,-1,104,0.000000,"\text{Not used}","int(x^5*(a + b/sinh(c + d*x^2)),x)","\int x^5\,\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^5*(a + b/sinh(c + d*x^2)), x)","F"
2,0,-1,26,0.000000,"\text{Not used}","int(x^4*(a + b/sinh(c + d*x^2)),x)","\int x^4\,\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^4*(a + b/sinh(c + d*x^2)), x)","F"
3,0,-1,68,0.000000,"\text{Not used}","int(x^3*(a + b/sinh(c + d*x^2)),x)","\int x^3\,\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/sinh(c + d*x^2)), x)","F"
4,0,-1,26,0.000000,"\text{Not used}","int(x^2*(a + b/sinh(c + d*x^2)),x)","\int x^2\,\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^2*(a + b/sinh(c + d*x^2)), x)","F"
5,1,47,26,0.115538,"\text{Not used}","int(x*(a + b/sinh(c + d*x^2)),x)","\frac{a\,x^2}{2}-\frac{\mathrm{atan}\left(\frac{b\,{\mathrm{e}}^{d\,x^2}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{b^2}}\right)\,\sqrt{b^2}}{\sqrt{-d^2}}","Not used",1,"(a*x^2)/2 - (atan((b*exp(d*x^2)*exp(c)*(-d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(-d^2)^(1/2)","B"
6,0,-1,22,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^2))/x,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}}{x} \,d x","Not used",0,"int((a + b/sinh(c + d*x^2))/x, x)","F"
7,0,-1,24,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^2))/x^2, x)","F"
8,0,-1,196,0.000000,"\text{Not used}","int(x^5*(a + b/sinh(c + d*x^2))^2,x)","\int x^5\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^5*(a + b/sinh(c + d*x^2))^2, x)","F"
9,0,-1,21,0.000000,"\text{Not used}","int(x^4*(a + b/sinh(c + d*x^2))^2,x)","\int x^4\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^4*(a + b/sinh(c + d*x^2))^2, x)","F"
10,0,-1,108,0.000000,"\text{Not used}","int(x^3*(a + b/sinh(c + d*x^2))^2,x)","\int x^3\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/sinh(c + d*x^2))^2, x)","F"
11,0,-1,21,0.000000,"\text{Not used}","int(x^2*(a + b/sinh(c + d*x^2))^2,x)","\int x^2\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^2*(a + b/sinh(c + d*x^2))^2, x)","F"
12,1,81,45,1.624099,"\text{Not used}","int(x*(a + b/sinh(c + d*x^2))^2,x)","\frac{a^2\,x^2}{2}-\frac{b^2}{d\,\left({\mathrm{e}}^{2\,d\,x^2+2\,c}-1\right)}-\frac{2\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^{d\,x^2}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{-d^2}}","Not used",1,"(a^2*x^2)/2 - b^2/(d*(exp(2*c + 2*d*x^2) - 1)) - (2*atan((a*b*exp(d*x^2)*exp(c)*(-d^2)^(1/2))/(d*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(-d^2)^(1/2)","B"
13,0,-1,21,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^2))^2/x,x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/sinh(c + d*x^2))^2/x, x)","F"
14,0,-1,21,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^2))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^2))^2/x^2, x)","F"
15,1,399,90,0.129214,"\text{Not used}","int(x/sinh(a + b*x^2)^7,x)","\frac{5\,\mathrm{atan}\left(\frac{{\mathrm{e}}^a\,{\mathrm{e}}^{b\,x^2}\,\sqrt{-b^2}}{b}\right)}{16\,\sqrt{-b^2}}-\frac{8\,{\mathrm{e}}^{3\,b\,x^2+3\,a}}{3\,b\,\left(5\,{\mathrm{e}}^{2\,b\,x^2+2\,a}-10\,{\mathrm{e}}^{4\,b\,x^2+4\,a}+10\,{\mathrm{e}}^{6\,b\,x^2+6\,a}-5\,{\mathrm{e}}^{8\,b\,x^2+8\,a}+{\mathrm{e}}^{10\,b\,x^2+10\,a}-1\right)}-\frac{{\mathrm{e}}^{b\,x^2+a}}{b\,\left(6\,{\mathrm{e}}^{4\,b\,x^2+4\,a}-4\,{\mathrm{e}}^{2\,b\,x^2+2\,a}-4\,{\mathrm{e}}^{6\,b\,x^2+6\,a}+{\mathrm{e}}^{8\,b\,x^2+8\,a}+1\right)}+\frac{5\,{\mathrm{e}}^{b\,x^2+a}}{24\,b\,\left({\mathrm{e}}^{4\,b\,x^2+4\,a}-2\,{\mathrm{e}}^{2\,b\,x^2+2\,a}+1\right)}-\frac{16\,{\mathrm{e}}^{5\,b\,x^2+5\,a}}{3\,b\,\left(15\,{\mathrm{e}}^{4\,b\,x^2+4\,a}-6\,{\mathrm{e}}^{2\,b\,x^2+2\,a}-20\,{\mathrm{e}}^{6\,b\,x^2+6\,a}+15\,{\mathrm{e}}^{8\,b\,x^2+8\,a}-6\,{\mathrm{e}}^{10\,b\,x^2+10\,a}+{\mathrm{e}}^{12\,b\,x^2+12\,a}+1\right)}-\frac{{\mathrm{e}}^{b\,x^2+a}}{6\,b\,\left(3\,{\mathrm{e}}^{2\,b\,x^2+2\,a}-3\,{\mathrm{e}}^{4\,b\,x^2+4\,a}+{\mathrm{e}}^{6\,b\,x^2+6\,a}-1\right)}-\frac{5\,{\mathrm{e}}^{b\,x^2+a}}{16\,b\,\left({\mathrm{e}}^{2\,b\,x^2+2\,a}-1\right)}","Not used",1,"(5*atan((exp(a)*exp(b*x^2)*(-b^2)^(1/2))/b))/(16*(-b^2)^(1/2)) - (8*exp(3*a + 3*b*x^2))/(3*b*(5*exp(2*a + 2*b*x^2) - 10*exp(4*a + 4*b*x^2) + 10*exp(6*a + 6*b*x^2) - 5*exp(8*a + 8*b*x^2) + exp(10*a + 10*b*x^2) - 1)) - exp(a + b*x^2)/(b*(6*exp(4*a + 4*b*x^2) - 4*exp(2*a + 2*b*x^2) - 4*exp(6*a + 6*b*x^2) + exp(8*a + 8*b*x^2) + 1)) + (5*exp(a + b*x^2))/(24*b*(exp(4*a + 4*b*x^2) - 2*exp(2*a + 2*b*x^2) + 1)) - (16*exp(5*a + 5*b*x^2))/(3*b*(15*exp(4*a + 4*b*x^2) - 6*exp(2*a + 2*b*x^2) - 20*exp(6*a + 6*b*x^2) + 15*exp(8*a + 8*b*x^2) - 6*exp(10*a + 10*b*x^2) + exp(12*a + 12*b*x^2) + 1)) - exp(a + b*x^2)/(6*b*(3*exp(2*a + 2*b*x^2) - 3*exp(4*a + 4*b*x^2) + exp(6*a + 6*b*x^2) - 1)) - (5*exp(a + b*x^2))/(16*b*(exp(2*a + 2*b*x^2) - 1))","B"
16,0,-1,325,0.000000,"\text{Not used}","int(x^5/(a + b/sinh(c + d*x^2)),x)","\int \frac{x^5}{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^5/(a + b/sinh(c + d*x^2)), x)","F"
17,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/sinh(c + d*x^2)),x)","\int \frac{x^4}{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^4/(a + b/sinh(c + d*x^2)), x)","F"
18,0,-1,225,0.000000,"\text{Not used}","int(x^3/(a + b/sinh(c + d*x^2)),x)","\int \frac{x^3}{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^3/(a + b/sinh(c + d*x^2)), x)","F"
19,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/sinh(c + d*x^2)),x)","\int \frac{x^2}{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^2/(a + b/sinh(c + d*x^2)), x)","F"
20,1,175,60,2.040309,"\text{Not used}","int(x/(a + b/sinh(c + d*x^2)),x)","\frac{x^2}{2\,a}-\frac{\mathrm{atan}\left(\frac{a\,d\,\sqrt{b^2}}{\sqrt{-a^4\,d^2-a^2\,b^2\,d^2}}-\frac{b\,{\mathrm{e}}^{d\,x^2}\,{\mathrm{e}}^c\,\sqrt{-a^4\,d^2-a^2\,b^2\,d^2}}{a^2\,d\,\sqrt{b^2}}+\frac{a^2\,b\,d\,{\mathrm{e}}^{d\,x^2}\,{\mathrm{e}}^c\,\sqrt{b^2}\,\sqrt{-a^4\,d^2-a^2\,b^2\,d^2}}{a^6\,d^2+a^4\,b^2\,d^2}\right)\,\sqrt{b^2}}{\sqrt{-a^4\,d^2-a^2\,b^2\,d^2}}","Not used",1,"x^2/(2*a) - (atan((a*d*(b^2)^(1/2))/(- a^4*d^2 - a^2*b^2*d^2)^(1/2) - (b*exp(d*x^2)*exp(c)*(- a^4*d^2 - a^2*b^2*d^2)^(1/2))/(a^2*d*(b^2)^(1/2)) + (a^2*b*d*exp(d*x^2)*exp(c)*(b^2)^(1/2)*(- a^4*d^2 - a^2*b^2*d^2)^(1/2))/(a^6*d^2 + a^4*b^2*d^2))*(b^2)^(1/2))/(- a^4*d^2 - a^2*b^2*d^2)^(1/2)","B"
21,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/sinh(c + d*x^2))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/sinh(c + d*x^2))), x)","F"
22,0,-1,24,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^2))/x^2, x)","F"
23,0,-1,922,0.000000,"\text{Not used}","int(x^5/(a + b/sinh(c + d*x^2))^2,x)","\int \frac{x^5}{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^5/(a + b/sinh(c + d*x^2))^2, x)","F"
24,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/sinh(c + d*x^2))^2,x)","\int \frac{x^4}{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^4/(a + b/sinh(c + d*x^2))^2, x)","F"
25,0,-1,519,0.000000,"\text{Not used}","int(x^3/(a + b/sinh(c + d*x^2))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/sinh(c + d*x^2))^2, x)","F"
26,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/sinh(c + d*x^2))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^2/(a + b/sinh(c + d*x^2))^2, x)","F"
27,1,290,113,1.972255,"\text{Not used}","int(x/(a + b/sinh(c + d*x^2))^2,x)","\frac{x^2}{2\,a^2}-\frac{\frac{b^2}{d\,\left(a^3+a\,b^2\right)}-\frac{b^3\,{\mathrm{e}}^{d\,x^2+c}}{a\,d\,\left(a^3+a\,b^2\right)}}{2\,b\,{\mathrm{e}}^{d\,x^2+c}-a+a\,{\mathrm{e}}^{2\,d\,x^2+2\,c}}-\frac{b\,\ln\left(\frac{2\,b\,x\,{\mathrm{e}}^{d\,x^2+c}\,\left(2\,a^2+b^2\right)}{a^3\,\left(a^2+b^2\right)}-\frac{2\,b\,x\,\left(2\,a^2+b^2\right)\,\left(a-b\,{\mathrm{e}}^{d\,x^2+c}\right)}{a^3\,{\left(a^2+b^2\right)}^{3/2}}\right)\,\left(2\,a^2+b^2\right)}{2\,a^2\,d\,{\left(a^2+b^2\right)}^{3/2}}+\frac{b\,\ln\left(\frac{2\,b\,x\,{\mathrm{e}}^{d\,x^2+c}\,\left(2\,a^2+b^2\right)}{a^3\,\left(a^2+b^2\right)}+\frac{2\,b\,x\,\left(2\,a^2+b^2\right)\,\left(a-b\,{\mathrm{e}}^{d\,x^2+c}\right)}{a^3\,{\left(a^2+b^2\right)}^{3/2}}\right)\,\left(2\,a^2+b^2\right)}{2\,a^2\,d\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"x^2/(2*a^2) - (b^2/(d*(a*b^2 + a^3)) - (b^3*exp(c + d*x^2))/(a*d*(a*b^2 + a^3)))/(2*b*exp(c + d*x^2) - a + a*exp(2*c + 2*d*x^2)) - (b*log((2*b*x*exp(c + d*x^2)*(2*a^2 + b^2))/(a^3*(a^2 + b^2)) - (2*b*x*(2*a^2 + b^2)*(a - b*exp(c + d*x^2)))/(a^3*(a^2 + b^2)^(3/2)))*(2*a^2 + b^2))/(2*a^2*d*(a^2 + b^2)^(3/2)) + (b*log((2*b*x*exp(c + d*x^2)*(2*a^2 + b^2))/(a^3*(a^2 + b^2)) + (2*b*x*(2*a^2 + b^2)*(a - b*exp(c + d*x^2)))/(a^3*(a^2 + b^2)^(3/2)))*(2*a^2 + b^2))/(2*a^2*d*(a^2 + b^2)^(3/2))","B"
28,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/sinh(c + d*x^2))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/sinh(c + d*x^2))^2), x)","F"
29,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*(a + b/sinh(c + d*x^2))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/sinh(c + d*x^2))^2), x)","F"
30,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*(a + b/sinh(c + d*x^2))^2),x)","\int \frac{1}{x^3\,{\left(a+\frac{b}{\mathrm{sinh}\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^3*(a + b/sinh(c + d*x^2))^2), x)","F"
31,0,-1,356,0.000000,"\text{Not used}","int(x^3*(a + b/sinh(c + d*x^(1/2))),x)","\int x^3\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/sinh(c + d*x^(1/2))), x)","F"
32,0,-1,260,0.000000,"\text{Not used}","int(x^2*(a + b/sinh(c + d*x^(1/2))),x)","\int x^2\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^2*(a + b/sinh(c + d*x^(1/2))), x)","F"
33,0,-1,164,0.000000,"\text{Not used}","int(x*(a + b/sinh(c + d*x^(1/2))),x)","\int x\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x*(a + b/sinh(c + d*x^(1/2))), x)","F"
34,0,-1,24,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}}{x} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))/x, x)","F"
35,0,-1,26,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))/x^2, x)","F"
36,0,-1,597,0.000000,"\text{Not used}","int(x^3*(a + b/sinh(c + d*x^(1/2)))^2,x)","\int x^3\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
37,0,-1,441,0.000000,"\text{Not used}","int(x^2*(a + b/sinh(c + d*x^(1/2)))^2,x)","\int x^2\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^2*(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
38,0,-1,287,0.000000,"\text{Not used}","int(x*(a + b/sinh(c + d*x^(1/2)))^2,x)","\int x\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x*(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
39,0,-1,23,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))^2/x,x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))^2/x, x)","F"
40,0,-1,23,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))^2/x^2, x)","F"
41,0,-1,897,0.000000,"\text{Not used}","int(x^3/(a + b/sinh(c + d*x^(1/2))),x)","\int \frac{x^3}{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^3/(a + b/sinh(c + d*x^(1/2))), x)","F"
42,0,-1,673,0.000000,"\text{Not used}","int(x^2/(a + b/sinh(c + d*x^(1/2))),x)","\int \frac{x^2}{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^2/(a + b/sinh(c + d*x^(1/2))), x)","F"
43,0,-1,449,0.000000,"\text{Not used}","int(x/(a + b/sinh(c + d*x^(1/2))),x)","\int \frac{x}{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x/(a + b/sinh(c + d*x^(1/2))), x)","F"
44,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/sinh(c + d*x^(1/2)))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/sinh(c + d*x^(1/2)))), x)","F"
45,0,-1,26,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))/x^2, x)","F"
46,0,-1,2663,0.000000,"\text{Not used}","int(x^3/(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
47,0,-1,1983,0.000000,"\text{Not used}","int(x^2/(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^2/(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
48,0,-1,1303,0.000000,"\text{Not used}","int(x/(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \frac{x}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x/(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
49,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/sinh(c + d*x^(1/2)))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/sinh(c + d*x^(1/2)))^2), x)","F"
50,0,-1,23,0.000000,"\text{Not used}","int(1/(x^2*(a + b/sinh(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/sinh(c + d*x^(1/2)))^2), x)","F"
51,0,-1,214,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/sinh(c + d*x^(1/2))),x)","\int x^{3/2}\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(3/2)*(a + b/sinh(c + d*x^(1/2))), x)","F"
52,0,-1,120,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/sinh(c + d*x^(1/2))),x)","\int \sqrt{x}\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(1/2)*(a + b/sinh(c + d*x^(1/2))), x)","F"
53,1,47,26,1.436565,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x^(1/2),x)","2\,a\,\sqrt{x}-\frac{4\,\mathrm{atan}\left(\frac{b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{b^2}}\right)\,\sqrt{b^2}}{\sqrt{-d^2}}","Not used",1,"2*a*x^(1/2) - (4*atan((b*exp(d*x^(1/2))*exp(c)*(-d^2)^(1/2))/(d*(b^2)^(1/2)))*(b^2)^(1/2))/(-d^2)^(1/2)","B"
54,0,-1,30,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x^(3/2),x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}}{x^{3/2}} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))/x^(3/2), x)","F"
55,0,-1,32,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))/x^(5/2),x)","\int \frac{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}}{x^{5/2}} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))/x^(5/2), x)","F"
56,0,-1,363,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))^2,x)","\int x^{3/2}\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
57,0,-1,209,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \sqrt{x}\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(1/2)*(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
58,1,81,47,1.434204,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))^2/x^(1/2),x)","2\,a^2\,\sqrt{x}-\frac{4\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,\sqrt{x}}-1\right)}-\frac{8\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c\,\sqrt{-d^2}}{d\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{-d^2}}","Not used",1,"2*a^2*x^(1/2) - (4*b^2)/(d*(exp(2*c + 2*d*x^(1/2)) - 1)) - (8*atan((a*b*exp(d*x^(1/2))*exp(c)*(-d^2)^(1/2))/(d*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(-d^2)^(1/2)","B"
59,0,-1,25,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))^2/x^(3/2),x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{3/2}} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))^2/x^(3/2), x)","F"
60,0,-1,25,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^(1/2)))^2/x^(5/2),x)","\int \frac{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{5/2}} \,d x","Not used",0,"int((a + b/sinh(c + d*x^(1/2)))^2/x^(5/2), x)","F"
61,0,-1,561,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/sinh(c + d*x^(1/2))),x)","\int \frac{x^{3/2}}{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(3/2)/(a + b/sinh(c + d*x^(1/2))), x)","F"
62,0,-1,337,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/sinh(c + d*x^(1/2))),x)","\int \frac{\sqrt{x}}{a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(1/2)/(a + b/sinh(c + d*x^(1/2))), x)","F"
63,1,145,63,1.742264,"\text{Not used}","int(1/(x^(1/2)*(a + b/sinh(c + d*x^(1/2)))),x)","\frac{2\,\sqrt{x}}{a}-\frac{2\,b\,\ln\left(\frac{2\,b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c}{a^2\,\sqrt{x}}-\frac{2\,b\,\left(a-b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c\right)}{a^2\,\sqrt{x}\,\sqrt{a^2+b^2}}\right)}{a\,d\,\sqrt{a^2+b^2}}+\frac{2\,b\,\ln\left(\frac{2\,b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c}{a^2\,\sqrt{x}}+\frac{2\,b\,\left(a-b\,{\mathrm{e}}^{d\,\sqrt{x}}\,{\mathrm{e}}^c\right)}{a^2\,\sqrt{x}\,\sqrt{a^2+b^2}}\right)}{a\,d\,\sqrt{a^2+b^2}}","Not used",1,"(2*x^(1/2))/a - (2*b*log((2*b*exp(d*x^(1/2))*exp(c))/(a^2*x^(1/2)) - (2*b*(a - b*exp(d*x^(1/2))*exp(c)))/(a^2*x^(1/2)*(a^2 + b^2)^(1/2))))/(a*d*(a^2 + b^2)^(1/2)) + (2*b*log((2*b*exp(d*x^(1/2))*exp(c))/(a^2*x^(1/2)) + (2*b*(a - b*exp(d*x^(1/2))*exp(c)))/(a^2*x^(1/2)*(a^2 + b^2)^(1/2))))/(a*d*(a^2 + b^2)^(1/2))","B"
64,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))),x)","\int \frac{1}{x^{3/2}\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))), x)","F"
65,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/sinh(c + d*x^(1/2)))),x)","\int \frac{1}{x^{5/2}\,\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/sinh(c + d*x^(1/2)))), x)","F"
66,0,-1,1639,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \frac{x^{3/2}}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(3/2)/(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
67,0,-1,959,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/sinh(c + d*x^(1/2)))^2,x)","\int \frac{\sqrt{x}}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(1/2)/(a + b/sinh(c + d*x^(1/2)))^2, x)","F"
68,1,319,118,1.971073,"\text{Not used}","int(1/(x^(1/2)*(a + b/sinh(c + d*x^(1/2)))^2),x)","\frac{2\,\sqrt{x}}{a^2}-\frac{\frac{4\,b^2\,\sqrt{x}}{d\,\left(a^3\,\sqrt{x}+a\,b^2\,\sqrt{x}\right)}-\frac{4\,b^3\,\sqrt{x}\,{\mathrm{e}}^{c+d\,\sqrt{x}}}{a\,d\,\left(a^3\,\sqrt{x}+a\,b^2\,\sqrt{x}\right)}}{2\,b\,{\mathrm{e}}^{c+d\,\sqrt{x}}-a+a\,{\mathrm{e}}^{2\,c+2\,d\,\sqrt{x}}}-\frac{2\,b\,\ln\left(\frac{2\,{\mathrm{e}}^{c+d\,\sqrt{x}}\,\left(2\,a^2\,b+b^3\right)}{a^3\,\sqrt{x}\,\left(a^2+b^2\right)}-\frac{2\,b\,\left(2\,a^2+b^2\right)\,\left(a-b\,{\mathrm{e}}^{c+d\,\sqrt{x}}\right)}{a^3\,\sqrt{x}\,{\left(a^2+b^2\right)}^{3/2}}\right)\,\left(2\,a^2+b^2\right)}{a^2\,d\,{\left(a^2+b^2\right)}^{3/2}}+\frac{2\,b\,\ln\left(\frac{2\,{\mathrm{e}}^{c+d\,\sqrt{x}}\,\left(2\,a^2\,b+b^3\right)}{a^3\,\sqrt{x}\,\left(a^2+b^2\right)}+\frac{2\,b\,\left(2\,a^2+b^2\right)\,\left(a-b\,{\mathrm{e}}^{c+d\,\sqrt{x}}\right)}{a^3\,\sqrt{x}\,{\left(a^2+b^2\right)}^{3/2}}\right)\,\left(2\,a^2+b^2\right)}{a^2\,d\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"(2*x^(1/2))/a^2 - ((4*b^2*x^(1/2))/(d*(a^3*x^(1/2) + a*b^2*x^(1/2))) - (4*b^3*x^(1/2)*exp(c + d*x^(1/2)))/(a*d*(a^3*x^(1/2) + a*b^2*x^(1/2))))/(2*b*exp(c + d*x^(1/2)) - a + a*exp(2*c + 2*d*x^(1/2))) - (2*b*log((2*exp(c + d*x^(1/2))*(2*a^2*b + b^3))/(a^3*x^(1/2)*(a^2 + b^2)) - (2*b*(2*a^2 + b^2)*(a - b*exp(c + d*x^(1/2))))/(a^3*x^(1/2)*(a^2 + b^2)^(3/2)))*(2*a^2 + b^2))/(a^2*d*(a^2 + b^2)^(3/2)) + (2*b*log((2*exp(c + d*x^(1/2))*(2*a^2*b + b^3))/(a^3*x^(1/2)*(a^2 + b^2)) + (2*b*(2*a^2 + b^2)*(a - b*exp(c + d*x^(1/2))))/(a^3*x^(1/2)*(a^2 + b^2)^(3/2)))*(2*a^2 + b^2))/(a^2*d*(a^2 + b^2)^(3/2))","B"
69,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{3/2}\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/sinh(c + d*x^(1/2)))^2), x)","F"
70,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/sinh(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{5/2}\,{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/sinh(c + d*x^(1/2)))^2), x)","F"
71,0,-1,32,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^n))^p*(e*x)^m,x)","\int {\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)}^p\,{\left(e\,x\right)}^m \,d x","Not used",0,"int((a + b/sinh(c + d*x^n))^p*(e*x)^m, x)","F"
72,1,112,45,4.370358,"\text{Not used}","int((a + b/sinh(c + d*x^n))*(e*x)^(n - 1),x)","\frac{a\,x\,{\left(e\,x\right)}^{n-1}}{n}-\frac{2\,\mathrm{atan}\left(\frac{b\,x\,{\mathrm{e}}^{d\,x^n}\,{\mathrm{e}}^c\,{\left(e\,x\right)}^{n-1}\,\sqrt{-d^2\,n^2\,x^{2\,n}}}{d\,n\,x^n\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}\right)\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{\sqrt{-d^2\,n^2\,x^{2\,n}}}","Not used",1,"(a*x*(e*x)^(n - 1))/n - (2*atan((b*x*exp(d*x^n)*exp(c)*(e*x)^(n - 1)*(-d^2*n^2*x^(2*n))^(1/2))/(d*n*x^n*(b^2*x^2*(e*x)^(2*n - 2))^(1/2)))*(b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(-d^2*n^2*x^(2*n))^(1/2)","B"
73,0,-1,124,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^n))*(e*x)^(2*n - 1),x)","\int \left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/sinh(c + d*x^n))*(e*x)^(2*n - 1), x)","F"
74,0,-1,197,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^n))*(e*x)^(3*n - 1),x)","\int \left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/sinh(c + d*x^n))*(e*x)^(3*n - 1), x)","F"
75,1,160,80,1.608086,"\text{Not used}","int((a + b/sinh(c + d*x^n))^2*(e*x)^(n - 1),x)","\frac{a^2\,x\,{\left(e\,x\right)}^{n-1}}{n}-\frac{4\,\mathrm{atan}\left(\frac{a\,b\,x\,{\mathrm{e}}^{d\,x^n}\,{\mathrm{e}}^c\,{\left(e\,x\right)}^{n-1}\,\sqrt{-d^2\,n^2\,x^{2\,n}}}{d\,n\,x^n\,\sqrt{a^2\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}\right)\,\sqrt{a^2\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{\sqrt{-d^2\,n^2\,x^{2\,n}}}-\frac{2\,b^2\,x\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n\,\left({\mathrm{e}}^{2\,c+2\,d\,x^n}-1\right)}","Not used",1,"(a^2*x*(e*x)^(n - 1))/n - (4*atan((a*b*x*exp(d*x^n)*exp(c)*(e*x)^(n - 1)*(-d^2*n^2*x^(2*n))^(1/2))/(d*n*x^n*(a^2*b^2*x^2*(e*x)^(2*n - 2))^(1/2)))*(a^2*b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(-d^2*n^2*x^(2*n))^(1/2) - (2*b^2*x*(e*x)^(n - 1))/(d*n*x^n*(exp(2*c + 2*d*x^n) - 1))","B"
76,0,-1,198,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^n))^2*(e*x)^(2*n - 1),x)","\int {\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/sinh(c + d*x^n))^2*(e*x)^(2*n - 1), x)","F"
77,0,-1,344,0.000000,"\text{Not used}","int((a + b/sinh(c + d*x^n))^2*(e*x)^(3*n - 1),x)","\int {\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/sinh(c + d*x^n))^2*(e*x)^(3*n - 1), x)","F"
78,1,410,82,8.664045,"\text{Not used}","int((e*x)^(n - 1)/(a + b/sinh(c + d*x^n)),x)","\frac{x\,{\left(e\,x\right)}^{n-1}}{a\,n}-\frac{\left(2\,\mathrm{atan}\left(\frac{x\,{\left(e\,x\right)}^{n-1}\,\sqrt{-a^2\,d^2\,n^2\,x^{2\,n}\,\left(a^2+b^2\right)}}{a\,d\,n\,x^n\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}\right)-2\,\mathrm{atan}\left(\frac{a^2\,{\mathrm{e}}^{d\,x^n}\,{\mathrm{e}}^c\,\left(\frac{2\,b\,x\,{\left(e\,x\right)}^{n-1}}{a^4\,d\,n\,x^n\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}+\frac{2\,b\,d\,n\,x^n\,{\left(e\,x\right)}^{1-n}\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{a^2\,x\,\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}-a^2\,b^2\,d^2\,n^2\,x^{2\,n}}\,\sqrt{-a^2\,d^2\,n^2\,x^{2\,n}\,\left(a^2+b^2\right)}}\right)\,\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}-a^2\,b^2\,d^2\,n^2\,x^{2\,n}}}{2}-\frac{a\,d\,n\,x^n\,{\left(e\,x\right)}^{1-n}\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{x\,\sqrt{-a^2\,d^2\,n^2\,x^{2\,n}\,\left(a^2+b^2\right)}}\right)\right)\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}-a^2\,b^2\,d^2\,n^2\,x^{2\,n}}}","Not used",1,"(x*(e*x)^(n - 1))/(a*n) - ((2*atan((x*(e*x)^(n - 1)*(-a^2*d^2*n^2*x^(2*n)*(a^2 + b^2))^(1/2))/(a*d*n*x^n*(b^2*x^2*(e*x)^(2*n - 2))^(1/2))) - 2*atan((a^2*exp(d*x^n)*exp(c)*((2*b*x*(e*x)^(n - 1))/(a^4*d*n*x^n*(b^2*x^2*(e*x)^(2*n - 2))^(1/2)) + (2*b*d*n*x^n*(e*x)^(1 - n)*(b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(a^2*x*(- a^4*d^2*n^2*x^(2*n) - a^2*b^2*d^2*n^2*x^(2*n))^(1/2)*(-a^2*d^2*n^2*x^(2*n)*(a^2 + b^2))^(1/2)))*(- a^4*d^2*n^2*x^(2*n) - a^2*b^2*d^2*n^2*x^(2*n))^(1/2))/2 - (a*d*n*x^n*(e*x)^(1 - n)*(b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(x*(-a^2*d^2*n^2*x^(2*n)*(a^2 + b^2))^(1/2))))*(b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(- a^4*d^2*n^2*x^(2*n) - a^2*b^2*d^2*n^2*x^(2*n))^(1/2)","B"
79,0,-1,291,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/sinh(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/sinh(c + d*x^n)), x)","F"
80,0,-1,428,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/sinh(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/sinh(c + d*x^n)), x)","F"
81,1,1449,149,19.087655,"\text{Not used}","int((e*x)^(n - 1)/(a + b/sinh(c + d*x^n))^2,x)","\frac{\left(2\,\mathrm{atan}\left(\left(\frac{a^5\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}}{2}+\frac{a^3\,b^2\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}}{2}\right)\,\left({\mathrm{e}}^{d\,x^n}\,{\mathrm{e}}^c\,\left(\frac{2\,{\left(e\,x\right)}^{1-n}\,\left(a^4\,b\,d\,n\,x^n\,\sqrt{b^6\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^2\,b^4\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^4\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}+a^2\,b^3\,d\,n\,x^n\,\sqrt{b^6\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^2\,b^4\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^4\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}\right)}{a^2\,x\,\left(a^4+a^2\,b^2\right)\,\left(2\,a^2+b^2\right)\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}\,\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}\,{\left(a^2+b^2\right)}^3}}+\frac{2\,\left(b^3\,x\,{\left(e\,x\right)}^{n-1}\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}+2\,a^2\,b\,x\,{\left(e\,x\right)}^{n-1}\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}\right)}{a^4\,d\,n\,x^n\,\left(a^4+a^2\,b^2\right)\,\left(a^2+b^2\right)\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}\,{\left(2\,a^2+b^2\right)}^2}\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}}\right)-\frac{2\,{\left(e\,x\right)}^{1-n}\,\left(a^5\,d\,n\,x^n\,\sqrt{b^6\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^2\,b^4\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^4\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}+a^3\,b^2\,d\,n\,x^n\,\sqrt{b^6\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^2\,b^4\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^4\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}\right)}{a^2\,x\,\left(a^4+a^2\,b^2\right)\,\left(2\,a^2+b^2\right)\,\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}\,\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}\,{\left(a^2+b^2\right)}^3}}\right)\right)-2\,\mathrm{atan}\left(\frac{x\,{\left(e\,x\right)}^{n-1}\,\left(2\,a^2+b^2\right)\,\sqrt{-a^4\,d^2\,n^2\,x^{2\,n}\,{\left(a^2+b^2\right)}^3}}{a^2\,d\,n\,x^n\,\left(a^2+b^2\right)\,\sqrt{b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}\,{\left(2\,a^2+b^2\right)}^2}}\right)\right)\,\sqrt{b^6\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^2\,b^4\,x^2\,{\left(e\,x\right)}^{2\,n-2}+4\,a^4\,b^2\,x^2\,{\left(e\,x\right)}^{2\,n-2}}}{\sqrt{-a^{10}\,d^2\,n^2\,x^{2\,n}-a^4\,b^6\,d^2\,n^2\,x^{2\,n}-3\,a^6\,b^4\,d^2\,n^2\,x^{2\,n}-3\,a^8\,b^2\,d^2\,n^2\,x^{2\,n}}}-\frac{\frac{2\,b^2\,x^2\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n\,\left(x\,a^3+x\,a\,b^2\right)}-\frac{2\,b^3\,x^2\,{\mathrm{e}}^{c+d\,x^n}\,{\left(e\,x\right)}^{n-1}}{a\,d\,n\,x^n\,\left(x\,a^3+x\,a\,b^2\right)}}{a\,{\mathrm{e}}^{2\,c+2\,d\,x^n}-a+2\,b\,{\mathrm{e}}^{c+d\,x^n}}+\frac{x\,{\left(e\,x\right)}^{n-1}}{a^2\,n}","Not used",1,"((2*atan(((a^5*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2))/2 + (a^3*b^2*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2))/2)*(exp(d*x^n)*exp(c)*((2*(e*x)^(1 - n)*(a^4*b*d*n*x^n*(b^6*x^2*(e*x)^(2*n - 2) + 4*a^2*b^4*x^2*(e*x)^(2*n - 2) + 4*a^4*b^2*x^2*(e*x)^(2*n - 2))^(1/2) + a^2*b^3*d*n*x^n*(b^6*x^2*(e*x)^(2*n - 2) + 4*a^2*b^4*x^2*(e*x)^(2*n - 2) + 4*a^4*b^2*x^2*(e*x)^(2*n - 2))^(1/2)))/(a^2*x*(a^4 + a^2*b^2)*(2*a^2 + b^2)*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2)*(-a^4*d^2*n^2*x^(2*n)*(a^2 + b^2)^3)^(1/2)) + (2*(b^3*x*(e*x)^(n - 1)*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2) + 2*a^2*b*x*(e*x)^(n - 1)*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2)))/(a^4*d*n*x^n*(a^4 + a^2*b^2)*(a^2 + b^2)*(b^2*x^2*(e*x)^(2*n - 2)*(2*a^2 + b^2)^2)^(1/2)*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2))) - (2*(e*x)^(1 - n)*(a^5*d*n*x^n*(b^6*x^2*(e*x)^(2*n - 2) + 4*a^2*b^4*x^2*(e*x)^(2*n - 2) + 4*a^4*b^2*x^2*(e*x)^(2*n - 2))^(1/2) + a^3*b^2*d*n*x^n*(b^6*x^2*(e*x)^(2*n - 2) + 4*a^2*b^4*x^2*(e*x)^(2*n - 2) + 4*a^4*b^2*x^2*(e*x)^(2*n - 2))^(1/2)))/(a^2*x*(a^4 + a^2*b^2)*(2*a^2 + b^2)*(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2)*(-a^4*d^2*n^2*x^(2*n)*(a^2 + b^2)^3)^(1/2)))) - 2*atan((x*(e*x)^(n - 1)*(2*a^2 + b^2)*(-a^4*d^2*n^2*x^(2*n)*(a^2 + b^2)^3)^(1/2))/(a^2*d*n*x^n*(a^2 + b^2)*(b^2*x^2*(e*x)^(2*n - 2)*(2*a^2 + b^2)^2)^(1/2))))*(b^6*x^2*(e*x)^(2*n - 2) + 4*a^2*b^4*x^2*(e*x)^(2*n - 2) + 4*a^4*b^2*x^2*(e*x)^(2*n - 2))^(1/2))/(- a^10*d^2*n^2*x^(2*n) - a^4*b^6*d^2*n^2*x^(2*n) - 3*a^6*b^4*d^2*n^2*x^(2*n) - 3*a^8*b^2*d^2*n^2*x^(2*n))^(1/2) - ((2*b^2*x^2*(e*x)^(n - 1))/(d*n*x^n*(a^3*x + a*b^2*x)) - (2*b^3*x^2*exp(c + d*x^n)*(e*x)^(n - 1))/(a*d*n*x^n*(a^3*x + a*b^2*x)))/(a*exp(2*c + 2*d*x^n) - a + 2*b*exp(c + d*x^n)) + (x*(e*x)^(n - 1))/(a^2*n)","B"
82,0,-1,681,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/sinh(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/sinh(c + d*x^n))^2, x)","F"
83,0,-1,1218,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/sinh(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{{\left(a+\frac{b}{\mathrm{sinh}\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/sinh(c + d*x^n))^2, x)","F"